1083058680 has 128 divisors (see below), whose sum is σ = 3556224000. Its totient is φ = 261696000.

The previous prime is 1083058651. The next prime is 1083058727. The reversal of 1083058680 is 868503801.

It is a happy number.

It is a super-2 number, since 2×1083058680² = 2346032208646684800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459505 + ... + 461855.

It is an arithmetic number, because the mean of its divisors is an integer number (27783000).

Almost surely, 2^1083058680 is an apocalyptic number.

1083058680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083058680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112000).

1083058680 is an abundant number, since it is smaller than the sum of its proper divisors (2473165320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1083058680 is a wasteful number, since it uses less digits than its factorization.

1083058680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1083058680 is about 32909.8568820954. The cubic root of 1083058680 is about 1026.9532234532.

The spelling of 1083058680 in words is "one billion, eighty-three million, fifty-eight thousand, six hundred eighty".